The irreversible gas-phase reaction AR is carried out in a fixed-bed catalytic reactor that operates as an ideal PFR. The reaction is second order in A, that is, rA=k(CA)^2. The reactor operates isothermally. The value of the rate constant is 2.510^3 m6/(molkgcats)2.5103 m6/(molkgcats). The concentration of A in the feed to the reactor is 12 mol/m^3, and the volumetric flow rate is 0.50 m^3/s. The total pressure is 1 atm and pressure drop through the reactor can be neglected.

If the reaction is controlled by intrinsic kinetics, what weight of catalyst is required to achieve a fractional conversion of A of 0.90?